@article{f358c0b3d9c54bf2a60cef9b534e2b95,
title = "Topology optimization of bistable elastic structures — An application to logic gates",
abstract = "In this paper, bistable gates which can be used as building blocks in logic gates are designed using topology optimization. The gate simulation is based on finite strain kinematics and hyperelastic material response. The objective of the optimization is to maximize the stiffness of a gate in the stable configurations while ensuring an adequate energy and distance separations between them and constraining the peak stress and total mass. The optimization problem is solved using nonlinear programming and the adjoint method is used to efficiently calculate the sensitivities. Conventional techniques such as SIMP interpolation, PDE filtering and Heaviside thresholding are included in the formulation. The numerical examples suggest a number of possible gate designs.",
keywords = "Bistability, Logic gate, Non-linear elasticity, Topology optimization",
author = "Mathias Wallin and Anna Dalklint and Daniel Tortorelli",
note = "Funding Information: This work was performed under the auspices of the U.S. Department of Energy by Lawrence Livermore National Laboratory under Contract DE-AC52-07NA33344 . The computations were enabled by resources provided by the Swedish National Infrastructure for Computing (SNIC). MW and AD are also grateful for the financial support provided by the Swedish energy agency , grant nbr. 48344-1 and the Swedish strategic research programme eSSENCE . The authors would finally like to thank Prof. Krister Svanberg for providing the MMA code. Funding Information: This work was performed under the auspices of the U.S. Department of Energy by Lawrence Livermore National Laboratory under Contract DE-AC52-07NA33344. The computations were enabled by resources provided by the Swedish National Infrastructure for Computing (SNIC). MW and AD are also grateful for the financial support provided by the Swedish energy agency, grant nbr. 48344-1 and the Swedish strategic research programme eSSENCE. The authors would finally like to thank Prof. Krister Svanberg for providing the MMA code. Publisher Copyright: {\textcopyright} 2021 The Author(s)",
year = "2021",
month = sep,
day = "1",
doi = "10.1016/j.cma.2021.113912",
language = "English (US)",
volume = "383",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0045-7825",
publisher = "Elsevier",
}